They've had autoland for a while. Maybe in this context it means the nearest ILS runway, or nearest externally directed ILS runway. (just not landing in the side of a skyscraper)
Besides, there can be a back-link and information updates for the landing box to manage situations with two or more planes in emergency mode.
If you worry about the signal not being received and the inability of air traffic control to spot the irregularity, then only initiate safety landing when the plane receives an answer-signal. Otherwise, let the plane fly however it wants and let it crash somewhere randomly because most places are better equipped to handle a random plane landing than a regular airport.